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Simplifying 5(x + -7) + -3x + -3 = 0 Reorder the terms: 5(-7 + x) + -3x + -3 = 0 (-7 * 5 + x * 5) + -3x + -3 = 0 (-35 + 5x) + -3x + -3 = 0 Reorder the terms: -35 + -3 + 5x + -3x = 0 Combine like terms: -35 + -3 = -38 -38 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -38 + 2x = 0 Solving -38 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 2x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = 0 + 38 2x = 0 + 38 Combine like terms: 0 + 38 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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